Question

Is it possible to design a rectangular park whose perimeter is 6 times its breadth and area is 800 metre square.If possible find its length and breadth .​

Answer 1

Let the length of rectangular park be l m.

Let the breadth of rectangular park be b m.

Given,

Perimeter = 6*b m

Area = 800 m^2

We know,

Perimeter of a rectangle = 2*(l+b)

Area of a rectangle = l*b

We have,

Perimeter of the rectangular park = 6*b

2*(l+b) = 6*b

2l + 2b = 6b

2l = 4b

l = 2b.....(1)

And again,

Area of rectangular Park = 800 m^2

l*b = 800

2b*b = 800....{from (1)},

2*b^2 = 800

b^2 = 400

b = 20 m.... (2)

Now from (1) and (2),

l = 40m

So, length and breath of the rectangular park are 20 m and 40 m respectively.